Finite Group Databasebeta

← Group #247738

Character table — Group #247738

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222244444444444444442444444444442444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111111-1-11-111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111111-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-111111-1-1111-1-1-1-111-11-1-1-1-1-11-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-111-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-111-111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1111111-1-1-1-111-1-111
χ121111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1-1111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-1-11-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111-1-1-11111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11111-11-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-200-2-2-222000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-22200-222-2-2000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2222002-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-20022222000000000000000000000000
χ21222222-2-2-2-222-2-2000022-2-220000-200000000002-2002-2000000000000
χ22222222-2-2-2-222-2-2000022-2-220000-20000000000-2200-22000000000000
χ23222222-2-2-2-222-2-20000-2-222-2002220000220-200000-200000000000000
χ24222222-2-2-2-222-2-20000-2-222-200-2-220000-2-20200000200000000000000
χ25222222-2-2-2-2-2-222000022-2-2-20000200000000002-200-22000000000000
χ26222222-2-2-2-2-2-222000022-2-2-2000020000000000-22002-2000000000000
χ27222222-2-2-2-2-2-2220000-2-22220022-20000-2-20-200000200000000000000
χ28222222-2-2-2-2-2-2220000-2-222200-2-2-20000220200000-200000000000000
χ292222-2-2-2-222000022-2-22-22-20000002-20000002-2000000002-200000000
χ302222-2-2-2-222000022-2-22-22-20000002-2000000-2200000000-2200000000
χ312222-2-2-2-222000022-2-2-22-22000000-220000200000-20002-20000000000
χ322222-2-2-2-222000022-2-2-22-22000000-220000-2000002000-220000000000
χ332222-2-2-2-2220000-2-2222-22-2000000-220000002-200000000-2200000000
χ342222-2-2-2-2220000-2-2222-22-2000000-22000000-22000000002-200000000
χ352222-2-2-2-2220000-2-222-22-220000002-20000200000-2000-220000000000
χ362222-2-2-2-2220000-2-222-22-220000002-20000-20000020002-20000000000
χ372-2-222-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-20000000000000000i2−i22−22−2i2−i2
χ382-2-222-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-20000000000000000−i2i2−22−22−i2i2
χ392-2-222-22-22-22i−2i2i−2i−2i2i−2i2i000000000000-220000000000000000i2−i22−2−22−i2i2
χ402-2-222-22-22-22i−2i2i−2i−2i2i−2i2i000000000000-220000000000000000−i2i2−222−2i2−i2
χ412-2-222-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000-220000000000000000i2−i2−222−2−i2i2
χ422-2-222-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000-220000000000000000−i2i22−2−22i2−i2
χ432-2-222-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-20000000000000000i2−i2−22−22i2−i2
χ442-2-222-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-20000000000000000−i2i22−22−2−i2i2
χ454444-4-444-4-4000000004-4-440000000000000000000000000000000000
χ464444-4-444-4-400000000-444-40000000000000000000000000000000000
χ474-4-444-4-44-444i−4i−4i4i000000000000000000000000000000000000000000
χ484-4-444-4-44-44−4i4i4i−4i000000000000000000000000000000000000000000
χ494-4-44-444-4-4400000000000004i−4i0000000000000000000000000000000
χ504-4-44-444-4-440000000000000−4i4i0000000000000000000000000000000
χ514-4-44-44-444-400004i−4i−4i4i00000000000000000000000000000000000000
χ524-4-44-44-444-40000−4i4i4i−4i00000000000000000000000000000000000000
χ5388-8-80000000000000000000004-400000000000000000000000000000
χ5488-8-8000000000000000000000-4400000000000000000000000000000
χ558-88-800000000000000000000000000004-40000000000000000000000
χ568-88-80000000000000000000000000000-440000000000000000000000

Here i is the imaginary unit (i² = −1).